Question

in a recent election, there were six candidates and 5100 total votes. the table below summarizes the vote percentages by candidate. this information is also presented as a circle graph.
find the central angle measure, ( x^circ ), for the dewitt slice in the circle graph. do not round.

candidate	percentage of votes
watkins	11%
choi	24%
nguyen	21%
dewitt	8%
bowerman	10%

( x = square )

Explanation:

Step1: Recall circle graph angle formula

A full circle is \(360^\circ\). The central angle for a slice is the percentage of votes (as a decimal) times \(360^\circ\).

Step2: Convert DeWitt's percentage to decimal

DeWitt has \(8\%\) of the votes, so as a decimal, that's \(0.08\).

Step3: Calculate the central angle

Multiply the decimal by \(360^\circ\): \(x = 0.08\times360\).
\(0.08\times360 = 28.8\)

Answer:

\(28.8\)